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gtnhenbr [62]
3 years ago
10

Determine if the function is continuous to its domain

Mathematics
1 answer:
Maurinko [17]3 years ago
6 0

Yes, it is continuous to its domain

<h2>Explanation:</h2><h2></h2>

In order to find the domain of the function we need to get the restrictions:

1. From natural log:

x>0

2. From quotient:

x\neq 0

Matching these two restrictions the domain is:

x\in (0,\infty)

So the function is continuous to its domain because is defined for every x-value in the interval (0, \infty))

<h2>Learn more:</h2>

Functions: brainly.com/question/12891789

#LearnWithBrainly

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Please answer no trolls
satela [25.4K]

Answer:

\Huge\boxed{D.14.6}

Step-by-step explanation:

Hello There!

We can solve for x using trigonometry

More specifically the law of sines

In the image you can see that a side length divided by sin(its opposite angle) is equal to another side length divided by sin(its opposite angle)

so to find x we use this equation

\frac{x}{sin59} =\frac{17}{sin90}

step 1 multiply each side by sin 59

now we have

x=\frac{17sin59}{sin90}\\x = 14.6

so we can conclude that x = 14.6

7 0
3 years ago
The measure of an exterior angle of a regular polygon is 2x and the measure of an interior angle is 4x Find the measure of one i
kolbaska11 [484]

Answer:

Part a) The measure of an exterior angle is 60°

Part b) The measure of an interior angle is 120°

Step-by-step explanation:

step 1

Find the value of x

we know that

A regular polygon has equal sides and equal interior angles

The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)

so

2x+4x=180

solve for x

6x=180

x=30

step 2

Find the measure of an exterior angle

2x

substitute the value of x

2x=2(30)=60\°

step 3

Find the measure of an interior angle

4x

substitute the value of x

4x=4(30)=120\°

In this problem the regular polygon is a hexagon

6 0
3 years ago
The regular price of a Space Invader game is $30, but it is on sale. The discount is $15. What percent discount is this?
masha68 [24]

Answer:

50%

Step-by-step explanation:

15=30x

x=0.5

x=50%

3 0
3 years ago
Read 2 more answers
URGENTTT PLEASE HEEEEELP​
Mashcka [7]

Answer:

1)

M: 15

T: 14

W: 19

Th: 20

F: 9

Sa: 9

Su: 5

2) 18 degrees

Step-by-step explanation:

4 0
2 years ago
Find the area of an equilateral triangle (regular 3-gon) with the given measurement.
olga nikolaevna [1]

The formula for finding the area of an equilateral triangle is

square root of 3 * (a^2/2)

a is the side length so in this case is 6

square root of 3 * (18)

the area is about 15.6

6 0
3 years ago
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